87594428160 has 144 divisors (see below), whose sum is σ = 310838683680. Its totient is φ = 23358504960.

The previous prime is 87594428093. The next prime is 87594428221. The reversal of 87594428160 is 6182449578.

It is a happy number.

87594428160 is a `hidden beast` number, since 8 + 7 + 59 + 4 + 428 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 87594428097 and 87594428106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1232721 + ... + 1301840.

It is an arithmetic number, because the mean of its divisors is an integer number (2158601970).

Almost surely, 2^87594428160 is an apocalyptic number.

87594428160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87594428160 is an abundant number, since it is smaller than the sum of its proper divisors (223244255520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

87594428160 is a wasteful number, since it uses less digits than its factorization.

87594428160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2534591 (or 2534571 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 87594428160 in words is "eighty-seven billion, five hundred ninety-four million, four hundred twenty-eight thousand, one hundred sixty".